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Gender diversity and innovation in manufacturing and service firms Mercedes Teruel Maria Dolores Parra Agustí Segarra Document de treball n.15- 2015 WORKING PAPERS Col·lecció “DOCUMENTS DE TREBALL DEL DEPARTAMENT D’ECONOMIA - CREIP” DEPARTAMENT D’ECONOMIA – CREIP Facultat d’Economia i Empresa U NIVERSITAT V R OVIRA I IRGILI DEPARTAMENT D’ECONOMIA

WORKING PAPERS - Rovira i Virgili UniversityMercedes Teruel (*), Maria Dolores Parra (*),Agustí Segarra (*) Abstract Traditionally, researchers have considered the innovation process

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Page 1: WORKING PAPERS - Rovira i Virgili UniversityMercedes Teruel (*), Maria Dolores Parra (*),Agustí Segarra (*) Abstract Traditionally, researchers have considered the innovation process

Gender diversity and innovation in manufacturing

and service firms

Mercedes Teruel Maria Dolores Parra

Agustí Segarra

Document de treball n.15- 2015

WORKING PAPERS

Col·lecció “DOCUMENTS DE TREBALL DEL DEPARTAMENT D’ECONOMIA - CREIP”

DEPARTAMENT D’ECONOMIA – CREIP Facultat d’Economia i Empresa

UNIVERSITAT

VROVIRA I IRGILI

DEPARTAMENT D’ECONOMIA

Page 2: WORKING PAPERS - Rovira i Virgili UniversityMercedes Teruel (*), Maria Dolores Parra (*),Agustí Segarra (*) Abstract Traditionally, researchers have considered the innovation process

Edita:

Adreçar comentaris al Departament d’Economia / CREIP Dipòsit Legal: T - 557 - 2015 ISSN edició en paper: 1576 - 3382 ISSN edició electrònica: 1988 - 0820

DEPARTAMENT D’ECONOMIA – CREIP

Facultat d’Economia i Empresa

Departament d’Economia www.fcee.urv.es/departaments/economia/public_html/index.html Universitat Rovira i Virgili Facultat d’Economia i Empresa Avgda. de la Universitat, 1 43204 Reus Tel.: +34 977 759 811 Fax: +34 977 300 661 Email: [email protected]

CREIP www.urv.cat/creip Universitat Rovira i Virgili Departament d’Economia Avgda. de la Universitat, 1 43204 Reus Tel.: +34 977 558 936 Email: [email protected]

UNIVERSITAT

VROVIRA I IRGILI

DEPARTAMENT D’ECONOMIA

Page 3: WORKING PAPERS - Rovira i Virgili UniversityMercedes Teruel (*), Maria Dolores Parra (*),Agustí Segarra (*) Abstract Traditionally, researchers have considered the innovation process

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Gender diversity and innovation in manufacturing and service firms

Mercedes Teruel (*), Maria Dolores Parra (*), Agustí Segarra (*)

Abstract Traditionally, researchers have considered the innovation process as being gender neutral. However, recently some studies have begun to take gender diversity into account as a determinant of firms’ innovation. This paper aims to analyse how the effect of gender diversity on innovation output at firm level is sensitive to team size. Using the Spanish PITEC (Panel de Innovación Tecnológica) from 2007 to 2012 for innovative manufacturing and service firms, we estimate a multivariate probit model to analyse how gender diversity both in R&D teams and in the total workforce affect product, process, marketing and organizational innovations. Our results show that gender-diverse teams increase the probability of innovating, and this capacity is positively related team size. Gender diversity, in both the R&D department and the total workforce, has a larger positive impact on the probability of carrying out product and organizational innovations in larger teams than it does in smaller teams. This effect is less clear-cut in the case of marketing and process innovation, where the impact is only significant for micro and small firms. Finally, size effects are of greater importance when we distinguish between the manufacturing and service sectors. JEL Code: O30, O31, J16 Keywords: gender diversity, innovation output, team size, human resources Corresponding author: [email protected] (*) Research Group of Industry and Territory Department of Economics – CREIP, Universitat Rovira i Virgili Av. Universitat, 1; 43204 – Reus, Spain Tel. + 34 977 759 816 Fax + 34 977 300 661

Page 4: WORKING PAPERS - Rovira i Virgili UniversityMercedes Teruel (*), Maria Dolores Parra (*),Agustí Segarra (*) Abstract Traditionally, researchers have considered the innovation process

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1. Introduction

A wide range of scholars consider the innovation process as a direct relationship between innovation

inputs and outputs, without taking into account key agents that affect the dynamic nature of this process.

In fact, those studies which analysed the determinants of innovation consider usually the innovation as

gender neutral. However, gender diversity plays a significant role in the entire dynamics of learning-by-

doing or learning-by-interacting. Despite the interest of this issue, few studies at the level of the firm have

focused on the effects of gender diversity on innovation activities. (Díaz-García et al. 2013; Fernandez-

Sastre 2015).

Following these recent findings, here we are interested in studying how gender diversity affects

innovation capacity at firm level and how this relates to team size. To address this, we consider, on the

one hand, staff in the R&D department and, on the other hand, the total workforce. Thus, we will consider

how gender diversity may affect the propensity to innovate, not only in the R&D team, but also in the

total workforce. We consider that the gender diversity of the R&D department may be more directly

linked to a firm’s capacity to carry out those research activities involved in new knowledge acquisition

while the gender diversity of the workforce may be linked to the nature of a firm’s technology and to the

innovation objectives related to production and internal organization. In order to analyse if the gender

diversity affects the capacity of firms to innovate, we use the PITEC database from 2007 to 2012. Our

data set of Spanish manufacturing and service firms is exhaustive and consists of 5,392 innovating firms.

Given the nature of the data used in this work, it is appropriate to apply a multivariate probit model where

the dependent variable for each type of innovation is a binary one. Our results confirm that team size is a

relevant factor when considering the gender structure of a company and the gender diversity of R&D

departments. Furthermore, our results also explain differences in innovation output, in particular when we

distinguish between the manufacturing and service sectors.

This paper contributes to the previous empirical literature in four areas. Firstly, despite the increasing

importance of service activities in modern economies, the empirical literature has traditionally focused on

industrial manufacturing industries — we additionally obtain results for service sectors. Secondly, we

analyse the impact of gender diversity on R&D teams and also gender diversity on the total workforce to

compare different effects on a firm’s innovation. Thirdly, analysis of the effect of gender diversity on

innovation does not consider the effect of team size. Here, we consider the team size composition of the

R&D department and total firm size. Finally, we consider non-technological (organizational and

marketing) and technological (product and process) innovations.

The rest of the paper is organized as follows. Section 2 consists of a literature review, Section 3 explains

the data and the methodology, Section 4 presents the results and Section 5 contains the conclusions.

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2. Literature review

Innovation studies at the firm level have become more numerous in recent decades. Scholars have

focused their research on the analysis of some key aspects of innovation, such as its determinants, the

profile of innovative firms, the role of innovation on economic growth and the relationship between

innovation and firm’s productivity (Fagerberg and Verspagen 2009). Despite the increasing literature on

the determinants of innovation at firm level, few scholars have paid attention to the link between gender

diversity and innovation. In fact, innovation has been considered as a “gender neutral” phenomenon

(Kvidal and Ljunggren 2010).

Authors such as Blake and Hanson (2005) have questioned this and have invited the scientific community

to reconceptualise innovation. They argue that it is important to know how gender diversity affects the

innovative capacity of firms at different levels, since the innovation process involves people; males and

females. As highlighted by Crowden (2003), there are many possible sources of gender bias in studies

that measure innovation because currently these ignore systemic barriers to the inclusion of women in the

target survey populations. Additionally, Laursen and Salter (2006) point out that employees involved in a

firm's innovation process interact with each other; consequently, gender may affect this interaction and

thus may affect innovation.

In that sense, gender diversity may exert a positive impact on firm performance. First, gender diversity

increases the creativity and innovation under a heterogeneous board due to a more diverse skills and

competences (Lazear 1999; Baer et al. 2013). Finally, gender diversity may broaden the view of the firm's

environment and, consequently, the firm may take better decisions. However, negative impacts may be

expected when diversity increases the time required to make decisions. Consequently, performance of a

firm may decrease in sectors that require a quick response to market shocks (Carter et al. 2003; Smith et

al. 2005). Finally, some authors have pointed out various reasons for a mitigated impact of gender. For

instance, Adams and Weiss (2011), in line with Metz and Simon’s (2008) findings, find that men and

women hold similar beliefs regarding the achievement of their aspirations in their current organization

and how to bring this about. Therefore, these similarities may counterbalance the potential differences.

In regard to the impact of a gender-diverse team, Milliken and Martins (1996) suggest that a diverse team

has access to a larger network and to a larger pool of information, skills, and support that fall within the

network. Therefore, more gender-diverse teams may have a larger capacity to develop innovations.

Furthermore, a greater diversity in working groups implies a better knowledge of the market and a better

identification with customers and employees, thereby increasing the group’s ability to develop market and

product innovations. Similarly, the more diverse a group is, the wider the range of views and perspectives

its members will have, as well as having more alternative solutions to a problem, thereby leading to more

realistic decisions being adopted (Morrison 1992). Hence, gender diversity may increase creativity and

innovation and may improve problem solving (Robinson and Dechant 1997).

Despite the great interest of these topics and their important impact, few works evaluate the impact of

gender on innovation (Ljunggren et al. 2010; Danilda and Granat-Thorslund 2011; Alsos et al. 2013)

Alsos et al. (2013) review the main literature that takes into account the relationship between innovation

and gender in different fields, and show that this literature is scarce in business generally and, in

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particular, in Economics. The authors highlight the importance of carrying out further work in this line of

research. This lack of interest of gender on the innovation process is manifest in the lack of works

analysing the role of individuals on the innovation process (Alsos et al. 2013).

Recent empirical literature that analyses the impact of gender diversity on innovation from a business

perspective includes Østergaard et al. (2011). These authors show that educational diversity and gender

diversity positively affect innovation in Danish firms. Using data from French firms Galia and Zenou

(2012) analyse how board diversity affects product, process, marketing, and organizational innovation.

They obtain that the percentage of women on the board positively affects the probability of a firm

carrying out marketing innovation. For instance, Torchia et al. (2011) analyse gender diversity on

corporate boards and the relationship of this with innovation; their results show that gender diversity

positively affects organizational innovation. Other authors, such as Pfeifer and Wagner (2012) for

German manufacturing firms, focus their research on workforce composition and its relationship with

innovation activity. These authors find that firms with more females in their workforce invest more in

R&D activities.

Gender diversity has been mainly studied in relation to the total workforce and there is still a lack of

studies analysing its impact on innovation in R&D teams. We argue that the gender diversity of R&D

teams and the total workforce may have a different effect on the probability of innovation. One of the few

papers dealing with this research topic is Turner (2009), which shows how the composition of R&D

teams improves innovation in firms. This work, however, has some methodological limitations since the

author uses data from only four firms.

As far as we are concerned, Díaz-García, et al. (2013) and Fernandez-Sastre (2015) are the only works

which analyse the impact of gender diversity of R&D teams on the probability of innovating. Both works

use PITEC database and are based on Spanish innovative manufacturing firms. On the one hand, the work

of Díaz-García et al. (2013) analyses how the gender distribution of R&D teams affects radical and

incremental innovation in 2007. The authors measure gender diversity using the Blau index and a logistic

binary regression. They find a positive relationship between gender diversity in R&D teams and the

probability of carrying out radical innovation. This work, though, presents some limitations concerning

the causality of these variables, their proposed estimation strategy does not deal with simultaneity

problem.

On the other hand, Fernandez-Sastre (2015) aims to analyse how the gender diversity of R&D teams

impacts on product, service, process and organizational innovations for Spanish manufacturing firms. The

data uses the information for the period 2008–2011. The measure of gender diversity is proxied by the

Shannon-Weaver entropy index, which is commonly used to measure diversity, and is similar to the Blau

index used by Díaz-García et al. (2014). However both indexes have some limitations; neither takes into

account the effect of size teams. Additionally, the Shannon Index is expressed in a logarithmic form and

it cannot be calculated when a category is not represented. Also, the author considers only three of the

four types of innovation output do not taking into acountmarketing innovation. A specification based on

the share of the most represented gender is used in this work and the models are estimated using a

multivariate probit. The main results are that gender compositionaffects all the different innovation

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outputs, especially product and organizational innovations. Furthermore, the results show that a team

composition of 80% to 90% of the same gender is optimal for the introduction of new products, services

or processes.

Our aim is to determine whether firms with more gender-diverse teams have a greater probability of

innovating according with the team size. We use the Oslo Manual (2005) classification of product,

process, marketing and organizational innovation and argue that the impact may differ according with the

type of innovation carried out by firms. The argument is that technological innovations (product or

process innovations) are more closely related to the performance of the R&D department than are non-

technological (organizational or marketing) innovations, which may be influenced by other departments

more related with marketing, management, sales or production. Hence, we distinguish the effect of gender

diversity taking into account the different labour areas and their impact on each type of innovation and

also distinguishing between manufacturing and service sectors to detect differences between both sectors.

3. Data and methodology

3.1. Database and sample

The data used for the analysis comes from the Panel de Innovación Tecnológica (PITEC). This is a

dataset which compiles the Spanish CIS questionnaire. PITEC consists of panel data and contains a large

number of variables relating to innovation and economic activity. Data is available from 2003 to 2012.

Since we lag our explanatory variables by one year and the variables concerning organizational and

commercialization innovations are available only from 2008, our analysis is based on the data from 2007

to 2012. Firms included in the analysis are those that have available data for all the period— we thus

obtaining a balanced panel with 5,392 firms and 26,960 observations.

Table 1. Gender composition (%) and innovation activity (percentage of firms innovating) by technological and knowledge intensity. Period 2007-2012 Manufactures Services High-Tech Low-Tech KIS Non-KIS Gender Worker composition Total employees

Women 12.58% 07.80% 17.75% 05.88% Men 87.42% 92.20% 82.25% 94.12%

R&D department Women 25.10% 27.40% 34.38% 58.99% Men 74.90% 72.60% 65.62% 41.01%

Percentage of firms carrying out each type of innovation

Product 68.78% 49.78% 67.21% 34.33% Process 58.69% 57.44% 52.80% 49.40% Marketing 33.79% 29.41% 34.57% 23.36% Organization 47.90% 40.22% 52.81% 45.05%

Source: author’s elaboration from PITEC database

Table 1 shows the gender data composition for the total workforce and R&D employees. The data is

classified, distinguishing the technological and the knowledge intensity of manufacturing and service

sectors. As may be observed, firms belonging to high technological manufacturing sectors (High-Tech)

employ more males than females in both cases, for the total employees and also for the R&D department.

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Similar results are obtained for knowledge intensive services (KIS), where women are better represented

than in manufacturing. Conversely, low technological manufacturing sectors (Low-Tech) employ also a

larger percentage of men than women in both cases, however non knowledge intensive services (Non-

KIS) employ more women for the R&D department. We must have in mind that Non-KIS sectors are

labour intensive and traditionally developed by female labour.

Concerning the different types of innovations carried out by firms in regard to their technological and

knowledge intensity, Table 1 shows that high-tech manufacturing firms and KIS firms carry out more

product innovations, followed by processes innovations, while around the 50% of firms in non-KIS and

low-tech manufacturing sectors carry out process innovations. However, low-tech firms are more prone to

product innovation (49.78%), while firms in non-KIS sectors are more prone to develop organizational

innovations (45.05%).

3.2. Econometric model specification

To estimate the impact of gender diversity on innovation output, we use an innovation production

function where, inter alia, a firm's innovation output depends on gender diversity. Equation (1) specifies

the estimated innovation production function

(1)

where Pr() is the probability of innovating and where is a dummy variable taking a value of

1 if a firm innovates and 0 otherwise. Four different dependent variables are considered and correspond to

the four different types of innovation. takes a value equal to 1 when a firm declares that it

carries out product innovation (either goods or services) and 0 otherwise. takes a value equal

to 1 when a firm claims to have carried out process innovation and 0 otherwise, takes a

value equal to 1 if a firm declares that it carried out an innovation related to an introduction in the

marketand finally takes a value equal to 1 if a firm declares that they carried out an

innovation in the organization.The equation also includes a set of firm characteristics represented by

.Also, industry dummy variables and temporal dummies are included to control by non-

observable industry-specific factors and those factors that are common to all industries, but which are

time-variant.

Due to the fact that the dependent variable in Equation (1) is a binary variable of innovation output, the

use of a probit or logit model is recommended. However, the four different types of innovation

considered in the analysis are likely to be driven by common unobservable factors, leading to the

possibility that the error terms will be correlated across equations. This implies that the decision by a firm

to engage in one type of innovation could be related to that same firm’s decision to engage other types of

innovation. If this is the case, the estimation of a series of binary probit models for each different type of

innovation output will be inefficient. For this reason, we use a multivariate probit model to estimate

Equation (1). This uses information from the variance/covariance matrix of the estimated model to

capture interdependencies between the series of probit equations and to provide efficient estimates of the

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coefficients and standard errors of the model (Greene, 2008). A Chi-square test of independence shows

that the differences between the coefficients are statistically significant; hence it confirms a joint

significance of the dependent variable, indicating that a multivariate probit model is preferred (see Table

2 and Table 3).

3.3. Explanatory variables

As explanatory variables, we include a common set of lagged control variables to avoid double causality.

is the log of the average number of total employees and is the log of the age of the firm.

and are the logs of the expenditure on external and internal R&D per employee

respectively, as Cohen and Levinthal (1990) show the total expenditure on R&D improves the absorptive

capacity of firms, thus affecting their ability to innovate. Another important control variable is

, this variable measures the total expenditure on R&D training activities by employee —this

training could improve employees skills and their absorptive capacity, affecting also firm innovation

capacity. The literature shows that cooperation in innovation also affects firm innovation (Segarra-Blasco

and Arauzo-Carod, 2008; Simonen and McCann, 2008; Chun and Mun, 2012), in this regard we include

the variable as a dummy variable that takes a value of 1 if a firm cooperates, and 0 otherwise. The

variable is another dummy variable taking a value of 1 if a firm exports and 0 otherwise.

International markets bring firms increased competition but also access to more and new sources of

information and knowledge that increase their probability of innovating. Belonging to a company group

also may affect the probability of innovating; for this reason we include the variable taking a

value of 1 if a firm belongs to a group and 0 otherwise. The dummy variable takes a

value of 1 if a firm belongs to the high-tech and KIS sectors. We consider that knowledge intensive firms

have a greater propensity to innovate than their counterparts. Finally, is a proxy for the

education level of the R&D team and is measured as the average number of years of education. See Table

A.1 in the Appendix for the summary statistics and Table A.2 for the Pearson correlations.

3.4. Gender diversity variables

To measure gender diversity we consider the Blau index, in line with Díaz-García et al. (2014). This

index has been commonly used to measure demographic heterogeneity and it is accepted as the norm in

the field. In addition to the Blau index, there are other options for measuring diversity, see Harrison and

Klein (2007). However, the Blau index is preferred in our case, because the Shannon-Weaver entropy

alternative index is expressed in a logarithmic form and it cannot be calculated when a category is not

represented.

The formulation index is as follow,

(2)

where B is the value of the Blau index, p is the proportion of the percentage of members in the ith of the N

categories. In our case, N=2 due to the fact that we have only two categories; men or women. The value

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of the index in our case ranges from 0 to 0.5, where 0 means single-sex teams and 0.5 means egalitarian

teams. The value of the Blau index is represented by the variable . To compare gender diversity

in R&D departments and gender diversity on total employees, we calculate the index twice. First, the

index considers the information for the workforce in the R&D department. The index uses the percentage

of women and men in the R&D department to analyse the impact of gender diversity of R&D teams on

innovation outputs. Second, the index is estimated with the information for the total workforce in the

firm. The index uses the percentage of women and men employed in the firm to analyse the impact of

total gender diversity on innovation output.

A weakness of this index is that it does not take into account team size, giving the value 0.5 to 2-member

teams composed of one woman and one man and also giving the same index value to bigger teams e.g.

50-member team of 25 women and 25 men. We argue that the effort of having a diverse workforce is

more difficult in the second case than in the first, therefore we argue that diversity benefits must be

different from bigger or smaller groups. Furthermore, we assume that the impact of gender diversity on

innovation output must be sensitive to the team size. To deal with that, we additionally construct four

variables , , and , taking the Blau index value for different

team sizes. The first, , takes the value of the Blau index when group size is smaller than 10,

takes the value of the Blau index when group size is between 10 and 49, takes the

value of the Blau index if group size is between 50 and 249 and takes the value of the Blau

Index if group size is larger than 250.1 As in the previous case, we construct the variables taking values of

the Blau index obtained from R&D teams when we test how R&D gender diversity affects firm

innovation output and then we construct these four variables using the Blau index obtained from the total

workforce when we test how gender diversity on total employees affect firm innovation.

4. Empirical results

The main results of the empirical analyses are presented in this section.

Table 2 presents the results for the whole database considering our index of gender diversity for the total

workforce in the firm, Columns (1) to (8), and our index of gender diversity in the R&D department,

Columns (9) to (16).

1 We try with different team distributions obtaining similar results.

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Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 Time and sectorial dummies included.

Table 2. Multivariate probit for gender diversity of the total workshop and of the R&D department Gender diversity of all employees Gender diversity of employees in the R&D department Product Process Marketing Organization Product Process Marketing Organization Product Process Marketing Organization Product Process Marketing Organization Variables (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16) gender i,t-1 0.486*** 0.212*** 0.530*** 0.512*** 0.299*** -0.0150 0.0900 0.173*** (0.0647) (0.0616) (0.0644) (0.0608) (0.0669) (0.0633) (0.0594) (0.0588) gender1 i,t-1 0.422*** 0.199*** 0.549*** 0.457*** 0.208*** -0.0599 0.103* 0.0991 (0.0652) (0.0623) (0.0654) (0.0614) (0.0690) (0.0656) (0.0618) (0.0610) gender2 i,t-1 0.970*** 0.349*** 0.489*** 0.821*** 0.725*** 0.179* 0.0354 0.490*** (0.0959) (0.0892) (0.0861) (0.0845) (0.106) (0.0976) (0.0892) (0.0899) gender3 i,t-1 0.872*** 0.0487 0.253* 0.904*** 0.686*** 0.0764 0.0174 0.676*** (0.165) (0.151) (0.139) (0.145) (0.191) (0.175) (0.157) (0.166) gender4 i,t-1 1.632*** 0.559 0.375 1.428*** 1.032** 0.513 0.0565 0.803* (0.489) (0.430) (0.329) (0.429) (0.490) (0.461) (0.367) (0.444) lRDext i,t-1 0.0067*** 0.0043*** 0.0057*** 0.0073*** 0.0062*** 0.0042*** 0.0059*** 0.0070*** 0.0010 0.0020* 0.0051*** 0.0063*** 0.0009 0.0020* 0.0051*** 0.0063*** (0.0010) (0.0009) (0.0009) (0.0009) (0.0010) (0.0009) (0.0009) (0.0009) (0.0011) (0.0011) (0.0010) (0.0010) (0.0011) (0.0011) (0.0010) (0.0010) lRDint i,t-1 0.0435*** 0.0315*** 0.0234*** 0.0243*** 0.0421*** 0.0311*** 0.0237*** 0.0232*** 0.106*** 0.00292 -0.0008 0.0433*** 0.0837*** -0.0069 0.0025 0.0214* (0.0013) (0.0013) (0.0012) (0.0012) (0.0013) (0.0013) (0.0013) (0.0012) (0.0119) (0.0113) (0.0106) (0.0105) (0.0130) (0.0124) (0.0116) (0.0115) coop i,t-1 0.352*** 0.354*** 0.176*** 0.261*** 0.340*** 0.352*** 0.178*** 0.252*** 0.239*** 0.223*** 0.138*** 0.217*** 0.234*** 0.221*** 0.139*** 0.214*** (0.0218) (0.0208) (0.0199) (0.0194) (0.0219) (0.0209) (0.0199) (0.0195) (0.0266) (0.0249) (0.0230) (0.0229) (0.0266) (0.0250) (0.0230) (0.0229) ltraining i,t-1 0.0215*** 0.0313*** 0.0179*** 0.0249*** 0.0211*** 0.0312*** 0.0180*** 0.0246*** 0.0185*** 0.0237*** 0.0167*** 0.0231*** 0.0183*** 0.0236*** 0.0167*** 0.0229*** (0.0014) (0.0014) (0.0012) (0.0012) (0.0014) (0.0014) (0.0012) (0.0012) (0.0016) (0.0015) (0.0013) (0.0013) (0.0016) (0.0015) (0.0013) (0.0013) lhcstock i,t-1 0.0053** -0.0118*** 0.0056** -0.0043** 0.0055** -0.0117*** 0.0055** -0.0042* 0.0039 -0.0091*** 0.0092*** -0.0047** 0.0060** -0.0081*** 0.0089*** -0.0027 (0.0025) (0.0023) (0.0022) (0.0022) (0.0025) (0.0023) (0.0022) (0.0022) (0.0026) (0.0025) (0.0023) (0.0023) (0.0027) (0.0025) (0.0024) (0.0023) lnsizei,t-1 0.0802*** 0.145*** 0.0523*** 0.153*** 0.0656*** 0.144*** 0.0589*** 0.141*** 0.121*** 0.167*** 0.0406*** 0.191*** 0.0886*** 0.153*** 0.0455*** 0.159*** (0.0081) (0.0077) (0.0078) (0.0075) (0.0085) (0.0081) (0.0083) (0.0079) (0.0130) (0.0123) (0.0111) (0.0115) (0.0152) (0.0145) (0.0133) (0.0134) lagei,t-1 -0.0042 0.0078 -0.0101 -0.0139 -0.0038 0.0080 -0.0104 -0.0131 0.0372* -0.0113 -0.0237 -0.0623*** 0.0380* -0.0105 -0.0241 -0.0604*** (0.0144) (0.0137) (0.0138) (0.0132) (0.0144) (0.0137) (0.0138) (0.0132) (0.0197) (0.0188) (0.0173) (0.0174) (0.0198) (0.0188) (0.0173) (0.0174) expi,t-1 0.157*** 0.0572*** 0.145*** 0.0594*** 0.157*** 0.0568*** 0.145*** 0.0602*** 0.116*** -0.0177 0.127*** 0.0531** 0.117*** -0.0177 0.126*** 0.0542** (0.0196) (0.0188) (0.0189) (0.0182) (0.0197) (0.0188) (0.0189) (0.0182) (0.0268) (0.0254) (0.0236) (0.0236) (0.0268) (0.0254) (0.0236) (0.0236) group i,t-1 -0.0415* -0.0229 -0.109*** -0.0114 -0.0472** -0.0257 -0.109*** -0.0160 -0.135*** -0.0474* -0.165*** -0.0943*** -0.137*** -0.0486* -0.165*** -0.0936*** (0.0214) (0.0203) (0.0204) (0.0195) (0.0215) (0.0204) (0.0205) (0.0196) (0.0285) (0.0270) (0.0251) (0.0250) (0.0287) (0.0271) (0.0252) (0.0251) hightech-kis i,t-1 0.571*** 0.243 -0.466*** 0.0407 0.791*** 0.0362 0.644*** 0.404** 1.765*** -4.853 0.504 -0.0232 1.693*** -8.912 0.512 -0.0657 (0.167) (0.155) (0.171) (0.153) (0.177) (0.162) (0.167) (0.161) (0.448) (157.1) (0.428) (0.491) (0.447) (1.640e+06) (0.429) (0.487) Constant -0.810*** -0.804*** -0.799*** -0.817*** -0.794*** -0.809*** -0.820*** -0.787*** -1.754*** 4.652 -0.0328 -0.0983 -1.441*** 8.816 -0.0790 0.187 (0.140) (0.129) (0.140) (0.128) (0.140) (0.129) (0.140) (0.128) (0.406) (157.1) (0.418) (0.478) (0.411) (1.640e+06) (0.425) (0.477) Observations 26,956 26,956 15,340 15,340 21 0.296*** 0.296*** 0.204*** 0.203*** 31 0.321*** 0.322*** 0.305*** 0.306*** 41 0.231*** 0.230*** 0.223*** 0.222*** 32 0.336*** 0.336*** 0.306*** 0.307*** 42 0.406*** 0.406*** 0.390*** 0.390*** 43 0.567*** 0.568*** 0.562*** 0.563*** 2 (jointly significance)

7061*** 7065*** 3854*** 3858***

Wald 2 15386*** 15432*** 4252*** 4252*** Log Likelihood -56495 -56441 -33445 -33414

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First, gender diversity has a positive impact when considering the total workforce in a firm. These results

are significant regardless the type of innovation. Furthermore, when considering the interrelationship

between gender diversity and firm size we observe that there is a positive relationship between gender

diversity and the probability of innovating. Hence, gender diversity in larger firms exerts a larger positive

impact on the probability of innovating than it does in smaller firms. This trend is particularly clear for

the probability of product and organizational innovation; although for micro (gender1) and small firms

(gender2) gender diversity seems to be also significant for process and marketing innovation.

When taking a more direct approach to the gender composition in the R&D department, Columns (9) to

(16), we observe that the impact is only significant for product and organizational innovations; for

process and marketing innovations these variables are not significant. Hence, our results seem to confirm

that the R&D department is more relevant to the capacity of the firm for generating product and

organizational innovations than to the process and marketing innovations. The former types of

innovations may be under the R&D department's influence and, hence, the gender composition may have

a greater effect on a firm’s capacity to innovate. Finally, when considering the analysis of the team size in

the R&D department our results are similar to the previous ones. Gender diversity in the R&D department

shows a positive and increasing impact on the propensity to innovate, which is larger among larger firms

than in smaller firms. When considering the process and marketing innovation, Columns (14)-(15), this

effect is not so clear, the coefficient only being significant for small firms (gender2) in process

innovations and for micro firms (gender1) in marketing innovations.

Second, when considering the whole database, in regard to those variables more closely related with

innovation activity, we observe that external and internal R&D investment per employee shows a positive

impact regardless of the type of innovation. However, the sign remains significant only for some types of

innovations when considering those firms with a R&D department. In particular, we observe that external

R&D investment is non-significant for the capacity to introduce product innovations, while the internal

R&D investment is non-significant for the process and marketing innovations. These results are coherent

given that process and marketing innovations may be more closely related to the acquisition of external

knowledge, while for the product and organizational innovations their main source may come from the

firm’s internal competencies. The cooperation activity in innovation also shows a significant and positive

impact on the probability to innovate, regardless the type of innovation. Hence, cooperation will cause an

increase in the capacity to generate all types of innovation due to the fact that cooperation seeks to

innovate or because cooperation extends the sources of information.

Third, firms investing in training show a larger probability of innovating. Hence, the human capital stock

shows a diverse impact. Firms with a larger human capital stock in the R&D department are more prone

to introduce more product and marketing innovations, but fewer process and organizational innovations.

These results may point to the fact that the level of R&D employee’s education exerts a positive influence

on the capacity to introduce new products in the market and to innovate in marketing. Both types of

innovations are closely related to the need for understanding how a market works and this may be closely

connected with the capacity to interpret these market signals.

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Finally, regarding with the impact of the firm characteristics, firm size (lnsize) shows a positive impact on

the propensity to innovate, regardless of the innovation, therefore, larger firms have more capacity to

generate innovation. Firm age (lnage) shows a non-significant impact when considering the whole

sample, Columns (1) to (8), while it shows a positive sign on product innovation and negative sign on

organizational innovation when considering only the firms with R&D department. This result suggests

that older firms may be more prone to introduce product innovations but fewer organizational

innovations. Hence, firms with more experience take profit from their learning experience in order to

introduce new products, while this experience may make the introduction of organizational innovations

more difficult due to the existence of internal routines on the company. Export activity shows a positive

impact on the probability to innovate, regardless the type of innovation and whether we consider the

whole sample or firms with a R&D department. The only exception is the non-significant impact on

process innovation for firms with a R&D department. Regarding firms belonging to a group, these firms

show a lower probability of introducing product and marketing innovations when considering the whole

database, this impact becoming significant for all the types of innovations when considering only firms

with an R&D department. This may suggest a trapping effect whereby company headquarters decides

strategically where to invest the financial resources in order to focus the efforts of the different firms. As

a consequence, the capacity to decide the efforts devoted to innovation projects is lower for firms

belonging to groups.

The dummy variable for knowledge and technologically intensive firms (hightech-kis) always shows a

positive and significant impact for product innovations while, for the rest of innovations, the impact

differs depending on the sample. When we control for the impact of the firm size of the total workforce,

high-tech and KIS firms are more prone to innovate in marketing and organization. However, when we

control for the impact of the team size of the R&D department, firms in the high-tech and KIS sectors

show a larger propensity to introduce product innovations.

Given the different nature of manufacturing and service sectors, we focus also on the differences that the

gender diversity may exert on the probability of innovating. Table 3 shows the main coefficients of the

gender diversity controlling for the main variables in Table 2. In line with Fernandez-Sastre (2015), our

results show that for manufacturing industries, our index of gender diversity shows a positive and

significant impact on the probability of innovating, regardless the type of innovation and sample.

However, when taking firm size into account, we observed an increase and positive impact for product

and organizational innovation in the gender structure of the whole company, Columns (5) and (8).

Furthermore, gender diversity always shows a positive and significant impact on the probability to

innovate for micro (gender1) and small firms (gender2).

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Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 Time and sectorial dummies included.

Table 3. Multivariate Probit for Manufacturing and Service sectors

Gender diversity of all employees Gender diversity of employees in the R&D department Whole Firm size difference Whole Firm size difference

Product Process Marketing Organization Product Process Marketing Organization Product Process Marketing Organization Product Process Marketing Organization VARIABLES (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16)

MANUFACTURES gender i,t-1 0.352*** 0.227*** 0.835*** 0.565*** 0.273*** 0.131** 0.315*** 0.234*** (0.0652) (0.0620) (0.0643) (0.0627) (0.0684) (0.0651) (0.0599) (0.0599) gender1 i,t-1 0.294*** 0.226*** 0.869*** 0.499*** 0.184*** 0.0876 0.303*** 0.130** (0.0655) (0.0630) (0.0658) (0.0637) (0.0711) (0.0683) (0.0630) (0.0638) gender2 i,t-1 0.838*** 0.356*** 0.778*** 0.953*** 0.707*** 0.355*** 0.360*** 0.689*** (0.110) (0.101) (0.0928) (0.0939) (0.122) (0.112) (0.0972) (0.102) gender3 i,t-1 0.475** -0.385** 0.348** 0.859*** 0.533** -0.132 0.334* 0.678*** (0.227) (0.190) (0.171) (0.191) (0.251) (0.221) (0.194) (0.217) gender4 i,t-1 0.554 1.239 0.655 1.880*** 0.146 1.170 0.718 0.947 (0.984) (0.757) (0.564) (0.700) (0.852) (0.738) (0.586) (0.806) Observations 21,573 21,573 12,337 12,337 21 0.269*** 0.269*** 0.154*** 0.153*** 31 0.324*** 0.325*** 0.301*** 0.302*** 41 0.239*** 0.238*** 0.191*** 0.189*** 32 0.323*** 0.323*** 0.286*** 0.286*** 42 0.411*** 0.411*** 0.378*** 0.377*** 43 0.548*** 0.549*** 0.553*** 0.554*** 2 (jointly significance) 5354*** 5364*** 2981*** 2983*** Wald 2 11027*** 11053*** 2506*** 2563*** Log Likelihood -45644 -45593 -27250 -27219

SERVICES gender i,t-1 0.478*** 0.484*** 0.247 0.340** -0.324** -0.277* -0.269* -0.128 (0.145) (0.146) (0.153) (0.146) (0.155) (0.146) (0.144) (0.143) gender1 i,t-1 0.501*** 0.468*** 0.322** 0.312** -0.287* -0.383** -0.114 -0.106 (0.147) (0.148) (0.159) (0.147) (0.167) (0.158) (0.159) (0.158) gender2 i,t-1 0.509*** 0.542*** 0.121 0.440** -0.368* -0.0513 -0.521*** -0.128 (0.187) (0.182) (0.185) (0.179) (0.197) (0.188) (0.182) (0.186) gender3 i,t-1 -0.0789 0.618** -0.540** 0.588** -0.827*** 0.215 -1.105*** 0.00590 (0.245) (0.241) (0.229) (0.237) (0.293) (0.288) (0.268) (0.288) gender4 i,t-1 1.147* 1.133** -0.362 1.193** 0.104 0.518 -1.123** 0.545 (0.591) (0.487) (0.402) (0.513) (0.670) (0.544) (0.499) (0.614) Observations 5,383 5,383 3,003 3,003 21 0.346*** 0.348*** 0.221*** 0.224*** 31 0.379*** 0.379*** 0.389*** 0.387*** 41 0.279*** 0.281*** 0.259*** 0.260*** 32 0.372*** 0.376*** 0.342*** 0.348*** 42 0.406*** 0.407*** 0.381*** 0.382*** 43 0.604*** 0.610*** 0.609*** 0.613*** 2 (jointly significance) 1674*** 1686*** 892.5*** 899.4*** Wald 2 2545*** 2598*** 803.9*** 822.1 Log Likelihood -11434 -11411 -6667 -6651

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When considering the gender diversity of the R&D departments of manufacturing firms, (Columns (13)

to (16)), our results show that for micro and small firms a more gender-diverse R&D department affects

significantly and positively the propensity to innovate, regardless of the type of innovation. While, in

firms with team between 50 and 249 workers, having a more diverse R&D team affects significantly and

positively the propensity to innovate on product, marketing and organization.

Surprisingly, our results for the service industries show a different pattern depending on the sample. On

the one hand, for the whole sample, our index of gender diversity shows a positive impact (Columns (1)

to (4)), regardless the variable except for marketing innovations. On the other hand, for firms with an

R&D department the gender diversity of this department shows a negative influence on the probability of

innovating regardless the variable (Columns (9) to (12)), but which is not significant on the probability of

carrying out organizational innovations. Furthermore, if we disentangle the impact of gender diversity

according to firm size (Columns (5) to (8)), we observe that firms with less than 10 employees (gender1)

with a gender-diverse structure show a positive and significant impact on the probability to innovate. For

firms between 10 and 49 employees (gender2) having a more gender-diverse structure will have a

positive and significant impact on the probability to introduce product, process and organizational

innovations. Firms between 50 and 249 employees (gender3) will be more prone to carry out process and

organizational innovations, but less so for marketing innovations. Finally, larger firms with a gender-

diverse structure (gender4) show it having a positive and significant impact on the propensity to innovate

in product, process and organization.

When considering the size of the R&D team, smaller firms (gender1) with a more gender-diverse R&D

department show a significantly lower propensity for carrying out process innovations. Firms with R&D

teams between 10 and 249 employees with a more gender-diverse R&D teams (gender2 and gender3)

will have a lower propensity to innovate in product and marketing. Finally, larger firms in the service

sectors which present a gender-diverse R&D team will show a lower propensity to carry out marketing

innovations.

Hence, our results highlight the existence of differences between manufacturing and service industries.

Service industries which comprise a broad range of activities in which consumer-provider interaction has

traditionally been very high (e.g., education and health services) are more prone to incorporate process

innovations. So the advances in computer-mediated technology (including online access to information,

two-way student-teacher communication, multimedia systems), for example, are significantly enhancing

the effectiveness of long distance education. Our results seem to point out the highly intensive consumer-

provider interaction where the R&D department may not be so important in generating a proper

environment in the firm to innovate, while a more gender-diverse workforce structure has a positive

impact on the probability of innovating. Therefore, there seems that it is not only necessary to take into

account the gender structure in the R&D to analyse the probability of innovating, but it is also necessary

to know the gender structure for the whole company.

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5. Conclusions

Gender diversity on teams has been addressed recently as an important factor in generating positive

synergies between groups and in increasing the innovative performance of firms. At a political level,

gender diversity has been also addressed as a priority in the discourse regarding promoting the integration

of women in the labour market. A more diverse workforce may have a positive effect, given that

education and competencies may complement each other (Lazear1999; Berliant and Fujita,2011; Baer, et

al. 2013). Regardless of the increasing interest in the relationship between gender and innovation, there

are still few scholars focusing on innovation and gender diversity.

In this article, we analyse the relationship between gender diversity and the four types of innovation

output considered into the Oslo Manual (2005), taking into account the team size.

Our study differs from the previous literature in several ways. Firstly, we consider that team size may

modify the impact of gender diversity on the innovation output. Secondly, we consider gender diversity

on R&D departments that are more related to innovation products, and also we include gender diversity in

the firm’s workforce. This approach is essential for our aim of determining disparities in the impact of

diversity on the four types of innovation output. Our work is in line with Díaz-García et al. (2013) and

Fernandez-Sastre (2015), however both those authors only consider gender diversity on R&D teams.

Finally, our analysis includes manufacturing and service sector, allowing us to observe particularities

related to the technological and the knowledge intensity in the sectors.

Our results demonstrate the importance of separately analysing gender diversity in R&D teams and in the

total workforce, in particular when distinguishing between manufacturing and service sectors. Another

important issue that emerged from our analysis is that team size matters, in both cases gender diversity on

R&D teams or in total workforce had different effects if we take size team into account. For the pooled

estimation we find that gender diversity in both the R&D department and the total workforce exerted a

larger positive impact on the probability of carrying out product and organizational innovations for larger

firms than in smaller firms. This effect it is less clear in the case of marketing and process innovation,

where its impact is only significant for micro and small firms. These size effects are still more important

when we distinguish between manufacturing and service sectors.

Hence we conclude that increasing gender equality, especially in the manufacturing industries, increases a

firm’s probability of innovating. Furthermore, we stress the importance of considering size when

analysing gender diversity in works teams. Innovation is not a phenomenon that occurs exclusively on

R&D departments; it is a process that involves the whole organization of the company. For this reason,

aiming to explain how gender diversity affects the probability of all innovation types is not an accurate

approach; we try to approximate it by distinguishing between the R&D team and the total workforce.

Finally, we have to comment on three limitations of our analysis which are due to data unavailability.

Firstly, the data does not allow us to make a more accurate comparison of gender composition between

different departments. Hence, our analysis is limited to the binary analysis of gender composition in the

R&D department and in the whole company. Secondly, we could only control for the level of education

of the R&D department and not of the total workforce. Thirdly, current definitions of innovations have

remarkable restrictions when we aim to capture all of the contributions of gender diversity. The latest

edition of the Oslo Manual (2005) show that innovation starts with R&D investments and finishes with

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innovation output, without remarking on the role of the innovation process. This definition conceptualizes

innovation as gender neutral, without taking into account the effects of the interaction of women and men

in R&D or in creative innovation process, in this regard, deeper analysis is needed.

Acknowledgements This paper is part of research carried out with the financial support of the Consolidated Group of Research 2014-SGR-1395 of the Catalan Government, the Xarxa de Referencia d'Economia Aplicada (XREAP) and Programa de Suport a la Recerca de la Universitat Rovira i Virgili. We are grateful to Verònica Gombau for her research support. The usual disclaimers apply. References

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Table A.1. Summary statistics (mean and standard deviation in parenthesis). 2007-2012.

High-Tech Low-Tech KIS Non-KIS Variable product i,t 0.688 0.498 0.672 0.343 (0.46) (0.5) (0.46) (0.47) process i,t 0.587 0.574 0.528 0.494 (0.49) (0.49) (0.49) (0.5) marketing i,t 0.338 0.294 0.346 0.224 (0.47) (0.45) (0.47) (0.41) organization i,t 0.479 0.402 0.528 0.450 (0.49) (0.49) (0.49) (0.49) lsize i,t-1 4.000 4.055 3.524 5.100 (1.39) (1.35) (1.59) (1.86) lage i,t-1 3.149 3.167 2.493 3.227 (0.65) (0.64) (0.54) (0.87) exp i,t-1 0.660 0.525 0.239 0.046 (0.47) (0.49) (0.42) (0.2) group i,t-1 0.423 0.363 0.310 0.501 (0.49) (0.48) (0.46) (0.5) lRDext i,t-1 -8.181 -10.841 -7.863 -13.02 (11.06) (9.61) (11.51) (7.74) lRDint i,t-1 1.012 -4.774 3.280 -10.52 (11.25) (11.88) (11.07) (9.99) ltraining i,t-1 -13.147 -14.248 -11.182 -13.39 (7.26) (5.91) (9.15) (6.86) hcstock i,t-1 7.650 4.379 9.649 2.453 (6.46) (5.72) (6.7) (5.06) coop i,t-1 0.329 0.245 0.463 0.230 (0.46) (0.43) (0.49) (0.42) hightech_kis i,t-1 1.000 0.000 1.000 0.000 (0) (0) (0) (0) R&D Department (Gender diversity index) gender i,t-1 0.222 0.234 0.299 0.349 (0.19) (0.2) (0.18) (0.17) gender1i,t-1 0.119 0.158 0.103 0.175 (0.18) (0.2) (0.17) (0.21) gender2 i,t-1 0.082 0.068 0.129 0.134 (0.15) (0.14) (0.18) (0.2) gender3 i,t-1 0.019 0.008 0.058 0.027 (0.08) (0.05) (0.14) (0.1) gender4 i,t-1 0.002 0.000 0.009 0.008 (0.02) (0) (0.06) (0.05) Total employees (Gender diversity index) gender i,t-1 0.302 0.298 0.372 0.374 (0.14) (0.15) (0.13) (0.13) gender1i,t-1 0.214 0.257 0.201 0.326 (0.18) (0.17) (0.2) (0.17) gender2 i,t-1 0.072 0.034 0.117 0.040 (0.14) (0.11) (0.18) (0.12) gender3 i,t-1 0.015 0.003 0.047 0.006 (0.07) (0.03) (0.13) (0.05) gender4 i,t-1 0.002 0.000 0.007 0.002 (0.02) (0) (0.05) (0.03) Observations all firms 9,114 12,463 3,312 2,071 firms with R&D department 6,381 5,960 2,506 497

**Differences between the number of observations of gender variables for R&D department and total employees it is due to the fact that when a firm declares that they have zero workers on R&D department the Blau Index could not be

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calculated nevertheless when we use this approach for the total employees, all firms declare that have 1 or more workers.

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Table A.32. Pearson correlations. 2007-2012.

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16) (17) (18) (19) (20) (21) (22) (23) (24) (1) product i, t 1 (2) process i, t 0.36* 1 (3) marketing i, t 0.32* 0.28* 1 (4) organization i, t 0.31* 0.38* 0.45* 1 (5) lsize i, t-1 0.13* 0.22* 0.09* 0.21* 1 (6) lage i, t-1 0.00 0.06* 0.02* 0.03* 0.34* 1 (7) exp i, t-1 0.19* 0.12* 0.12* 0.10* 0.18* 0.19* 1 (8) grup i, t-1 0.09* 0.12* 0.03* 0.13* 0.50* 0.09* 0.13* 1 (9) lRDext i, t-1 0.26* 0.20* 0.16* 0.22* 0.15* 0.00 0.14* 0.14* 1 (10) lRDint i, t-1 0.50* 0.31* 0.27* 0.30* 0.10* -0.03* 0.22* 0.09* 0.39* 1 (11) ltraining i, t-1 0.20* 0.20* 0.17* 0.22* 0.11* 0.00 0.04* 0.06* 0.19* 0.22* 1 (12) hcstock i, t-1 0.43* 0.25* 0.24* 0.26* 0.14* -0.04* 0.18* 0.13* 0.34* 0.82* 0.21* 1 (13) coop i, t-1 0.28* 0.24* 0.17* 0.23* 0.16* -0.01* 0.10* 0.15* 0.39* 0.36* 0.20* 0.32* 1 (14) hightech_kis i, t-1 0.21* 0.00 0.06* 0.08* -0.11* -0.14* 0.09* 0.00 0.14* 0.29* 0.10* 0.31* 0.13* 1 (15) gender i, t-1 0.06* 0.05* 0.05* 0.10* 0.19* -0.01 -0.01 0.16* 0.17* 0.17* 0.10* 0.08* 0.18* 0.00 1 (16) gender1 i, t-1 -0.03* -0.02* 0.02* -0.04* -0.15* -0.03* -0.03* -0.06* -0.02* -0.07* -0.03* -0.04* -0.03* -0.11* 0.60* 1 (17) gender2 i, t-1 0.07* 0.06* 0.02* 0.11* 0.23* 0.01 0.01* 0.20* 0.16* 0.16* 0.10* 0.08* 0.17* 0.06* 0.38* -0.36* 1 (18) gender3 i, t-1 0.04* 0.03* 0.00 0.09* 0.27* 0.01* 0.01 0.11* 0.14* 0.22* 0.10* 0.12* 0.14* 0.11* 0.19* -0.15* -0.12* 1 (19) gender4 i, t-1 0.02* 0.02* 0.01 0.04* 0.19* 0.01* 0.00 0.05* 0.01 0.08* 0.03* 0.04* 0.06* 0.05* 0.05* -0.05* -0.04* -0.02* 1 (20) gender i, t-1 0.11* 0.08* 0.12* 0.12* 0.11* -0.01* 0.04* 0.06* 0.10* 0.13* 0.09* 0.15* 0.09* 0.03* 0.39* 0.19* 0.18* 0.13* 0.60* 1 (21) gender1 i, t-1 -0.13* -0.08* -0.02* -0.10* -0.17* -0.02* -0.05* -0.13* -0.18* -0.22* -0.10* -0.20* -0.18* -0.15* -0.02* 0.57* -0.57* -0.25* 0.38* -0.36* 1 (22) gender2 i, t-1 0.23* 0.16* 0.13* 0.20* 0.21* 0.00 0.10* 0.19* 0.25* 0.34* 0.17* 0.31* 0.24* 0.16* 0.24* -0.39* 0.87* -0.13* 0.19* -0.15* -0.12* 1 (23) gender3 i, t-1 0.10* 0.07* 0.04* 0.11* 0.21* 0.01 0.04* 0.10* 0.17* 0.17* 0.11* 0.19* 0.16* 0.13* 0.17* -0.15* -0.12* 0.96* 0.05* -0.05* -0.04* -0.02* 1 (24) gender4 i, t-1 0.05* 0.03* 0.02* 0.05* 0.14* 0.01* 0.01* 0.05* 0.03* 0.06* 0.04* 0.07* 0.07* 0.05* 0.05* -0.05* -0.04* -0.02* 0.39* 0.19* 0.18* 0.13* 0.03* 1

* p<0.05

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Table A.3 Variable description

Variables Description Type

product i,t Takes a value equal to 1 if a firm declares to have carried out a product innovation from t-2 to t.

Dummy

process i,t Takes a value equal to 1 if a firm declares to have carried out process a innovation from t-2 to t.

Dummy

organization i,t Takes a value equal to 1 if a firm declares to have carried out an organizational innovation from t-2 to t.

Dummy

Dep

end

ent

vari

able

s

marketing i,t Takes a value equal to 1 if firm declare that at least some of these marketing innovations actions was carried out from t-2 to t.

Dummy

lsizei,t -1

Is the number of employees in t-1 Number (in logs)

lRDext i,t-1 Expenditure on external R&D per employee in logs

Number (in logs)

lRDint i,t-1 Expenditure on internal R&D per employee in logs

Number (in logs)

ltraining i,t -1

Training expenditure for innovation activities per employee in logs

Number (in logs)

coop i,t -1

Takes a value equal to 1 if the firm has cooperated with other companies from t -2 to t

Dummy

expi,t -1 Takes a value equal to 1 if the firm exported from t -2 to t Dummy group i,t -1 Takes a value equal to 1 if the firm is part of a group from t-2 to t Dummy

lagei,t-1 Is the age of the firm Number (in logs) lhcstock i,t-1

Average years of studies of the R&D department. Employees with a PhD have 21 years on average of education, licentiates have 17 years on average of education, bachelors have 16 years, and other studies 11 years)

Number (in logs) Fir

ms’

ch

arac

teri

stic

s

hightech-kis i,t-1

Takes a value equal to1 for firms in manufacturing and service knowledge intensive sectors

Dummy

gender i,t-1

Blau Index using R&D employees for t-1 or Blau Index using total employees for t-1

Number

gender1 i,t-1

Blau Index using R&D employees for t-1 for firms with R&D teams from 1 to 9 or Blau Index using total employees for t-1 for firms with 1 to 9 employees

Number

gender2 i,t-1

Blau Index using R&D employees for t-1 for firms with R&D teams from 10 to 49 or Blau Index using total employees for t-1 for firms with 10 to 49 employees

Number

gender3 i,t-1

Blau Index using R&D employees for t-1 for firms with R&D teams from 50 to 249 or Blau Index using total employees for t-1 for firms with 50 to 250 employees

Number

Gen

der

div

ersi

ty

gender4 i,t-1

Blau Index using R&D employees for t-1 for firms with R&D teams bigger than 250 or Blau Index using total employees for t-1 for firms with more than 250 employees

Number